Solve for d. 85 = 5(d − 68)
2 answers:
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You can simplify the right side. Then, you need to take cube roots.
(m -4)³ = 1/(1/8) . . . rule of exponents
(m -4)³ = 8 . . . . . . .simplify
m -4 = ∛8 . . . . . . . take cube roots
m -4 = 2 . . . . . . . . use your calculator or knowledge to find ∛8
m = 6 . . . . . . . . . . add 4
The solution is m = 6.
_____
If you subtract the right side, you get a function of m that is zero when m has the right value. This graph shows that value is m = 6.
(m -4)³ = 1/(1/8) . . . rule of exponents
(m -4)³ = 8 . . . . . . .simplify
m -4 = ∛8 . . . . . . . take cube roots
m -4 = 2 . . . . . . . . use your calculator or knowledge to find ∛8
m = 6 . . . . . . . . . . add 4
The solution is m = 6.
_____
If you subtract the right side, you get a function of m that is zero when m has the right value. This graph shows that value is m = 6.
The equation of line parallel to and containing the point(-10,-3) is
Step-by-step explanation:
We need to write the equation parallel to and containing the point(-10,-3)
The standard form of point slope equation is:
where m is slope and b is y-intercept
Comparing the given equation with standard form the slope is m= -1/5
Since the lines are parallel the slope of new line is m = -1/5
Now finding b (y-intercept)
Using slope m=-1/5 and point (-10,-3)
So, b= -5 and slope = -1/5 the equation of new line is:
So, The equation of line parallel to and containing the point(-10,-3) is
Keywords: Point Slope form
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The true statement about the side lengths of quadrilateral MNOP is (d) MP = OP = 11.25 cm because the scale factor for dilating quadrilateral EFGH is 1.25.
The side lengths of EFGH are given as:
Length NO is also given as:
Because both quadrilaterals are similar, then side NO corresponds to side FG.
The scale factor (k) from EFGH to MNOP is then calculated as:
The side lengths of MNOP are then calculated using:
Also,
So, the true statement is (d)
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